Sur la géométrie systolique des variétés de Bieberbach

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dc.creatorElmir, Chady
dc.creatorLafontaine, Jacques
dc.date2008-04-09
dc.date2008-06-03
dc.date.accessioned2026-07-07T12:18:13Z
dc.date.available2026-07-07T12:18:13Z
dc.descriptionThe systole of a compact non simply connected Riemannian manifold is the smallest length of a non-contractible closed curve ; the systolic ratio is the quotient $(\mathrm{systole})^n/\mathrm{volume}$. Its supremum on the set of all the riemannian metrics, is known to be finite for a large class of manifolds, including the $K(π,1)$. We study the optimal systolic ratio of compact, 3-dimensional non orientable Bieberbach manifolds, and prove that it cannot be realized by a flat metric.
dc.description17 pages, 2 figures, french, to appear in Geom. Dedicata
dc.identifierhttps://arxiv.org/abs/0804.1419
dc.identifierhttp://arxiv.org/abs/0804.1419
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/212338
dc.subjectDifferential Geometry
dc.titleSur la géométrie systolique des variétés de Bieberbach
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